Abstract
Estimation of design rainfall intensity is crucial for design and planning of water resources engineering projects. The intent of the present study is to develop regional IDF curves for Tehri-Garhwal Himalayan region in India, wherein numbers of hydropower projects are in planning and execution stage. Self Recording Rain Gauge (SRRG) stations are generally not so frequent in the project locations. Under this situation, the engineers are forced to use regional intensity duration frequency (IDF) curves. Under this study, four stations viz. Tehri M.T.Lab, Mukhim, Pilkhi and Dhuttu were available with SRRG data. These data are used to develop the regional IDF curve for entire Tehri-Garwal region. After selection of the most intensive storms, return periods has been determined using regionalized L-moment method. After developing IDF curves for above four raingauge stations, Thiessen Ploygon method is applied to find out average IDF curve. To show the spatial variability, Isopluvial maps have been generated using ArcGIS and a relation equation has been developed.
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References
Baghirathan VR, Shaw EM (1978) Rainfall depth–duration–frequency studies for SriLanka. J Hydrol 37(3):223–239
Bell FC (1969) Generalized rainfall–duration–frequency relationship. ASCE J Hydraul Eng 95:311–327
Bernard MM (1932) Formulas for rainfall intensities of long durations. Trans Am Soc Civil Eng 96:592–624
Bilham EG (1935) Classification of heavy falls of rain in short periods. British rainfall. HMSO, London, pp 262–280
Chen CL (1983) Rainfall intensity–duration–frequency formulas. ASCE J Hydraul Eng 109:1603–1621
Chow VT (1953) Frequency analysis of hydrologic with special application to rainfall intensities. Univ. llinious Eng. Exp. Sta. Bull. p 414
Chowdhary H (2007) Discussion of “IDF curves using the Frank Archemedean Copula” by V. P. Singh and Lan Zhang. doi:10.1061/(ASCE)1084-0699(2007)12:6(651), 12(6), 651–662
CWC report (1973) Estimation of design flood peak. Central Water Commission. Government of India, New Delhi. No. 1/73
Dahal RK, Hasegawa S (2008) Representative rainfall thresholds for landslides in the Nepal Himalaya. Geomorphology 100:429–443
Dupont BS, Allen DL (2000) Revision of the rainfall–intensity duration curves for the commonwealth of Kentucky. Research report KTC-00-18
ERDAS IMAGINE (2002) ERDAS LLC., Version 8.6
GLCF (2008) Earth Science data interface. Available at http://glcfapp.umiacs.umd.edu:8080/esdi/index.jsp
Hershfeld DM (1961) Rainfall frequency atlas of the United States for durations from 30 minutes to 24 hours and return periods from 1 to 100 years’. Technical paper 40. US Dept of Commerce, Weather Bureau, Washington, DC
Hershfield DM (1982) Two-minute rainfall extremes. Int Syrup Hyrometeorol Am Water Assoc 58:5–588
Hosking JRM (1990) L-moments analysis and estimation of distributions using linear combinations of order statistics. J R Stat Soc Ser B 52:105–124
Hosking JRM, Wallis JR (1997) Regional flood frequency analysis an approach based on L-moments. Cambridge University Press, New York
Huff FA (1967) Time distribution of rainfall inn heavy storms. Water Resour Res 3(4):1007–1019
Kothyari UC, Grade RJ (1992) Rainfall intensity–duration–frequency formula for India. J Hydrol Eng ASCE 118(2):323–336
Koutsoyiannis D, Foufoula-Georgiou E (1993) A scaling model for a storm hyetograph. Water Resour Res 29(4):2345–2361
Koutsoyiannis D, Kozonis D, Manetas A (1998) A mathematical framework for studying rainfall intensity–duration–frequency relationships. J Hydrol 206:118–135
Krishna AP (2005) Snow and glacier cover assessment in the high mountains of Sikkim Himalaya. Hydrol Process 19:2375–2383. doi:10.1002/hyp.5890
Langousis A, Veneziano D (2006) Intensity duration–frequency curves from scalling representations of rainfall. Water Resour Res (revised) 42, W06D15. doi:10.1029/2005WR004716
Madsen H, Mikkelsen PS, Rosbjerg D, Harremoës P (1998) Estimation of regional intensity–duration–frequency curves for extreme precipitation. Water Sci Technol 37(11):29–36
Menabde M, Sivapalan M (2000) Modeling of rainfall time and extremes using bounded random cascades and Leavy-stable distributions. Water Resour Res 36(11):3293–3300
Merz J, Dangol PM, Dhakal MP, Dongol BS, Weingartner R (2006) Rainfall amount and intensity in a rural catchment of the middle mountains, Nepal, 51(1),127–143. doi:10.1623/hysj.51.1.127
Miller JF, Frederick RH, Tracey RJ (1973) ‘Precipitation–frequency atlas of the conterminous western United State’, NOAA Atlas 2. National Weather Service, Silver Spring
Muller A, Bacro JN, Lang M (2008) Bayesian comparison of different rainfall depth–duration–frequency relationships. Stoch Environ Res Risk A 22(1):33–46
Naghettini M (2000) A study of the properties of scale invariance as applied to intensity–duration–frequency relationships of heavy storms. J Hydrol Eng 139
Nhat Le M, TachikawaY, Takara K (2006) Establishment of intensity–duration–frequency curves for precipitation in the monsoon area of Vietnam. Annuals of Disas. Prev. Res. Inst., Kyoto Univ., No. 49 B, pp 93–103
Philip GM, Watson DF (1982) A precise method for determining contoured surfaces. Aust Petroleum Explor Assoc J 22:205–212
Ponce VM (1989) Engineering hydrology, principles and practices. Prentice-Hall, Englewood Cliffs
Regalado L de S, Yuste JAF (2006) Maximum rainfall intensity analysis using l-moments in Spain. In: Proceedings of the 7 international conference on hydroscience and engineering, Philadelphia, USA, 10–13 September 2006. http://idea.library.drexel.edu/bitstream/1860/1442/1/2007017070.pdf, August 2007
Robson A, Reed D (1999) Flood estimation hand book: statistical procedure for flood frequency estimation, vol 3. Institute of Hydrology, UK
Sherman LK (1932) Streamflow from rainfall by the unit hydrograph method. Eng News Rec 108:501–505
Sivapalan M, Blöschl G (1998) Transformation of point rainfall to areal rainfall: intensity–duration–frequency curves. J Hydrol 204:150–167
Svensson C, Clarke RT, Jones DA (2007) An experimental comparison of methods for estimating rainfall intensity–duration–frequency relations from fragmentary records. J Hydrol 341:79–89
Trefry CM, Watkins DW Jr (2001) Application of a partial duration series model for regional rainfall frequency analysis in Michigan. J Hydrol Eng 41
Trefry CM, Watkins DW, Johnson DL (2000) Development of regional rainfall intensity–duration–frequency estimates for the State of Michigan. J Hydrol Eng 140
Watson DF, Philip GM (1985) A refinement of inverse distance weighted interpolation. Geoprocessing 2:315–327
Yu PS, Lin CS, Yang TC (2004) Regional rainfall intensity formulas based on scaling property of rainfall. J Hydrol 295:108–123
Acknowledgments
The authors wish to thank Mr. Biswa Mohan Goswami, Superintendent Engineer, DVC, West Bengal and Mr. Neeraj Agrawal, Sr. Engineer, THDC, for their help to improve the quality of the paper. The authors wish to thank the anonymous reviewers for their constructive suggestions to improve the quality of the paper.
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Sarkar, S., Goel, N.K. & Mathur, B.S. Development of isopluvial map using L-moment approach for Tehri-Garhwal Himalaya. Stoch Environ Res Risk Assess 24, 411–423 (2010). https://doi.org/10.1007/s00477-009-0330-2
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DOI: https://doi.org/10.1007/s00477-009-0330-2